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Simplifying 17d + 18 + 18d = -1d + -9(-6d + 10) Reorder the terms: 18 + 17d + 18d = -1d + -9(-6d + 10) Combine like terms: 17d + 18d = 35d 18 + 35d = -1d + -9(-6d + 10) Reorder the terms: 18 + 35d = -1d + -9(10 + -6d) 18 + 35d = -1d + (10 * -9 + -6d * -9) 18 + 35d = -1d + (-90 + 54d) Reorder the terms: 18 + 35d = -90 + -1d + 54d Combine like terms: -1d + 54d = 53d 18 + 35d = -90 + 53d Solving 18 + 35d = -90 + 53d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-53d' to each side of the equation. 18 + 35d + -53d = -90 + 53d + -53d Combine like terms: 35d + -53d = -18d 18 + -18d = -90 + 53d + -53d Combine like terms: 53d + -53d = 0 18 + -18d = -90 + 0 18 + -18d = -90 Add '-18' to each side of the equation. 18 + -18 + -18d = -90 + -18 Combine like terms: 18 + -18 = 0 0 + -18d = -90 + -18 -18d = -90 + -18 Combine like terms: -90 + -18 = -108 -18d = -108 Divide each side by '-18'. d = 6 Simplifying d = 6
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